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Finding the Fourth Proportional to 55.36, 83.01 and 24.90

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Solution

The fourth proportional to 55.36, 83.01 and 24.90 is: 37.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.36 : 83.01 = 24.90 : x
  2. Step 2: Convert to fraction form
    55.36/83.01 = 24.90/x
  3. Step 3: Cross multiply
    55.36x = 83.01 × 24.90
  4. Step 4: Simplify right side
    55.36x = 2,066.59
  5. Step 5: Solve for x
    x = 2,066.59/55.36
  6. Step 6: Final answer
    x = 37.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.